Q: What are the factor combinations of the number 43,811,845?

 A:
Positive:   1 x 438118455 x 87623697 x 625883511 x 398289535 x 125176755 x 79657977 x 568985385 x 113797
Negative: -1 x -43811845-5 x -8762369-7 x -6258835-11 x -3982895-35 x -1251767-55 x -796579-77 x -568985-385 x -113797


How do I find the factor combinations of the number 43,811,845?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 43,811,845, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 43,811,845
-1 -43,811,845

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 43,811,845.

Example:
1 x 43,811,845 = 43,811,845
and
-1 x -43,811,845 = 43,811,845
Notice both answers equal 43,811,845

With that explanation out of the way, let's continue. Next, we take the number 43,811,845 and divide it by 2:

43,811,845 ÷ 2 = 21,905,922.5

If the quotient is a whole number, then 2 and 21,905,922.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 43,811,845
-1 -43,811,845

Now, we try dividing 43,811,845 by 3:

43,811,845 ÷ 3 = 14,603,948.3333

If the quotient is a whole number, then 3 and 14,603,948.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 43,811,845
-1 -43,811,845

Let's try dividing by 4:

43,811,845 ÷ 4 = 10,952,961.25

If the quotient is a whole number, then 4 and 10,952,961.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 43,811,845
-1 43,811,845
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15711355577385113,797568,985796,5791,251,7673,982,8956,258,8358,762,36943,811,845
-1-5-7-11-35-55-77-385-113,797-568,985-796,579-1,251,767-3,982,895-6,258,835-8,762,369-43,811,845

More Examples

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